Method of Weighted Residuals

•  “The Method of Weighted Residuals and its Relation to Certain Variational Principles for the Analysis of Transport Processes”  (With L. E. Scriven) Chemical Engineering Science.  20:395-404.  1965.

•  “Galerkin's Method and the Local Potential”  (With L. E. Scriven) pp. 291-293, Non-Equilibrium Thermodynamics, Variational Techniques, and Stability,  Univ. Chicago.  1966.

•  “The Method of Weighted Residuals—A Review”  (With L. E. Scriven) Applied Mechanics Review.  19:735-748.  September 1966.

•  “Upper and Lower Bounds for Solutions to the Transport Equation.”  (With L. E. Scriven)  American Institute of Chemical Engineers Journal.  12:1151-1158.  November 1966.

•  “On the Search for Variational Principles.”  (With L. E. Scriven)  International Journal of Heat and Mass Transfer.  10:799-821.  June 1967.

•  “The Galerkin Method Applied to Convective Instability Problems.”  Journal of Fluid Mechanics.  33:201-208.  1968. pdf version, Copyright, Cambridge University Press

•   “Applications of the Method of Weighted Residuals and Variational Methods, I, II.”  British Chemical Engineering.  14:53-57, 179-182.  1969.

•   “Surface Tension Driven Oscillatory Instability in a Rotating Fluid Layer.”  (With G. A McConaghy)  Journal of Fluid Mechanics.  39:49-55.  1969. pdf version, Copyright, Cambridge University Press

•  “The Effect of Property Variations on the Convective Instability of Gases.”  (With D. S. Roja) Am. Inst. Chem. Eng. J.  16:876-877.  1970.

•  “Convergence of the Galerkin Method for Nonlinear Problems Involving Chemical Reaction,”  SIAM Journal on Numerical Analysis  8:316-324.  1971.

•   “On the Use of the Integral Method for Flow of Power-Law Fluids.”  (With Mohamed El Defrawi)  Am. Inst. Chem. Eng. J.  18:251-253.  1972.

•  “Existence of Variational Principles for the Navier-Stokes Equation,”  Physics of Fluids.  15:963-967.  1972.

•  “Error Bounds for Approximate Solutions to Nonlinear Ordinary Differential Equations”  (With Noble B. Ferguson)  Am. Inst. Chem. Eng. J.  18:1053-1059.  1972.

•  “Weighted Residual Methods and Their Relation to Finite Element Methods in Flow Problems,” pp. 13-19 in “Finite Element Methods in Flow Problems,”  Ed:  J. T. Oden, O. C. Zienkiewiz, R. H. Gallagher, C. Taylor, Univ. of Alabama Press.  1974.

•  “Solution of the Transport Equations Using a Moving Coordinate System,” (with O. K. Jensen).  Adv. Water Res.  3.  pp. 9-18.  1980.

•  “On the Proper Boundary Conditions for the Thermal Entry Problem” (With M. W. Chang).  Int. J. Num. Methods Eng.  15.  pp. 935-942.  1980.

•  “Oscillation Limits for Weighted Residual Methods Applied to Convection-Diffusion Problems” (with O. K. Jensen).  Int. J. Num. Methods Eng.  15:1681-1690.  1980.

•  “Infinite Possibilities for the Finite Element.”  Chem. Eng. Ed.  15.  pp. 20-25.  1981.

•  “Variational Principles for Heat Transfer,”  in Numerical Properties and Methodologies in Heat Transfer.  pp. 17-31.  1983.

•  “This Week's Citation Classic,”  Citation Classics,  Number 40,  Oct. 3, 1983.

See also Finite Element, Orthogonal Collocation